physics

Arfken's book has become a classic in mathematical physics teaching, but I don't think it could be regarded as a good text for such purpose because its is not really a mathematical text. This book is just a collection of formulas, EASY examples, problems, and references, and as such it is quite good, but the indefense undergraduate needs more than that to tackle the subject.

As a working mathematician I use the book mostly as a list of formulas. When I was a teacher I also found here a lot of interesting exercises to include in the exams.

As a conclusion, I find the text good as a reference, but bad as a course text.

I noticed that most student reviews seemed to disparage this book as a textbook, so I am writing this to provide an alternative veiwpoint. My intermediate Math Methods class used this book and I have not yet enountered a math problem in any of my grad classes that I couldn't use this book as an aide to solve. The book is clear yet concise, which allows for a large breadth of material to be covered in one semester effectively. Yes, some material is not covered with great depth, but I think that Mathematical Methods Books by design are not meant to be thourough, mathematically rigourous books but rather books that will present the method of solving, if not the exact solution, of most problems one might encounter in the physical sciences.

I reccomend this book. Like all other Math Methods books I have seen it will require other texts as supplements if one wants a reference for every problem one could encounter.

I am convinced that the author of this book has made the assumption that the reader has had pretty significant exposure to most of this already. Therefore, this is nothing more than a "all in once place" reference on math methods for physicists. The reason for the diverse range of opinions on this book is due to the various backgrounds of students. For most physic undergrads now taking a grad level math methods course, our exposure to differential eqns, complex functions, tensors, group theory, etc. is superficial. Here is a good entrepreneurial idea for an accomplished physicist that can relate to us mere mortals. For each page that Arfken has provided on a topic, ELABORATE (add 5 pages per page to it and now you have a useful textbook that every graduate student in physics should have). It would save us a fortune in buying the many additional supplemental texts required if you are stuck with Arfken.